A model of near equilibrium for an electricity pool market with nonconvexities

An electricity market operator solves a social welfare maximization model to determine market prices and generation. If the cost functions include nonconvexities such as binary variables, then linear prices generally do not exist such that all firms agree that the market operator's generation instructions are optimal. We define a "minimum disequilibrium" (MD) model which selects market prices and generation quantities to minimize the total of all firms' apparent loss of profit. The MD model is, however, difficult to solve. Gabriel, Conejo, Ruiz and Siddiqui recently proposed an extension of the mixed complementary problem type of model, which allows for integer variables and is solved as a mixed integer program. We show that the approach of Gabriel et al. provides an approximate solution to the MD model, and the approximation is exact in some circumstances. The approximation to the MD model is illustrated and compared with current, ad hoc fixes to the problems caused by nonconvexities in real markets.

This seminar will give you the opportunity to meet the speaker and all the researchers in attendance while enjoying drinks and snacks. We would highly appreciate if you could confirm your attendance.

Canada Research Chair in Discrete Nonlinear Optimization in Engineering

GERAD

May 5, 2015 03:45 PM
–
05:00 PM

GERAD

GERAD is a multi university research center founded in 1979, financed by FRQNT.
It involves some seventy experts from a mix of disciplines: quantitative methods for management, operations researchers, computer scientists, mathematicians and mathematical engineers, from HEC Montréal, Polytechnique Montréal, McGill University and Université du Québec à Montréal.